A data set includes data from student evaluations of courses. The summary statistics are n=97, x=3.66, s=0.63. Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
A data set includes data from student evaluations of courses. The summary statistics are n=97, x=3.66, s=0.63. Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Given : n=97 , X-bar=3.66 , s=0.63 , μ0=3.75 , α=0.01
Since , the population standard deviation (σ) is unknown.
Therefore , use t-distribution.
The degrees of freedom is given by,
df=n-1=97-1=96
Our aim is to test the claim that the population of student course evaluation has a mean equal to 3.75
Here , we use one sample mean t-test.
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